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Finding the Fourth Proportional to 53,200.78, 79,801.20 and 16,264.78

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Solution

The fourth proportional to 53,200.78, 79,801.20 and 16,264.78 is: 24,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.78 : 79,801.20 = 16,264.78 : x
  2. Step 2: Convert to fraction form
    53,200.78/79,801.20 = 16,264.78/x
  3. Step 3: Cross multiply
    53,200.78x = 79,801.20 × 16,264.78
  4. Step 4: Simplify right side
    53,200.78x = 1,297,948,961.74
  5. Step 5: Solve for x
    x = 1,297,948,961.74/53,200.78
  6. Step 6: Final answer
    x = 24,397.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.